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Simplifying 7(r + -4) + -1(-4 + 4r) = -1r + 4 + 2r Reorder the terms: 7(-4 + r) + -1(-4 + 4r) = -1r + 4 + 2r (-4 * 7 + r * 7) + -1(-4 + 4r) = -1r + 4 + 2r (-28 + 7r) + -1(-4 + 4r) = -1r + 4 + 2r -28 + 7r + (-4 * -1 + 4r * -1) = -1r + 4 + 2r -28 + 7r + (4 + -4r) = -1r + 4 + 2r Reorder the terms: -28 + 4 + 7r + -4r = -1r + 4 + 2r Combine like terms: -28 + 4 = -24 -24 + 7r + -4r = -1r + 4 + 2r Combine like terms: 7r + -4r = 3r -24 + 3r = -1r + 4 + 2r Reorder the terms: -24 + 3r = 4 + -1r + 2r Combine like terms: -1r + 2r = 1r -24 + 3r = 4 + 1r Solving -24 + 3r = 4 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -24 + 3r + -1r = 4 + 1r + -1r Combine like terms: 3r + -1r = 2r -24 + 2r = 4 + 1r + -1r Combine like terms: 1r + -1r = 0 -24 + 2r = 4 + 0 -24 + 2r = 4 Add '24' to each side of the equation. -24 + 24 + 2r = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 2r = 4 + 24 2r = 4 + 24 Combine like terms: 4 + 24 = 28 2r = 28 Divide each side by '2'. r = 14 Simplifying r = 14
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